Mass per volume density.
Carats per Cup to Grains per Quart Converter — ct/cup to gr/qt
Convert Carat per Cup (ct/cup) to Grain per Quart (gr/qt) using the exact conversion factor (1 carat per cup = 12.34588668 grain per quart). See the formula, worked examples, and conversion table.
Carats per Cup to Grains per Quart converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Context values
Some unit families need one extra value for a physically accurate result.
Mass per volume density.
Result = input x 0.8453505675 / 0.06847224418.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cup to Grains per Quart
Carat per Cup and Grain per Quart both measure density — mass per unit volume — a property used to identify materials, check manufacturing quality, and predict whether something floats or sinks. As a fixed reference point, water has a density of exactly 1000 kg/m³ (1 g/cm³, 1 g/mL) at its temperature of maximum density, which is why many density figures in science and engineering are quoted relative to water. Both are mass per volume density units.
Formula
grains per quart = carats per cup × 12.3458866824
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cup equals 0.845350567546 base units, and 1 grain per quart equals 0.0684722441811 base units, so dividing one by the other gives the direct carat per cup-to-grain per quart factor of 12.3458866824.
Simple example
1 ct/cup × 12.34588668 = 12.34588668 gr/qt
1 carat per cup = 12.34588668 grains per quart.
Real-world example
1,000 ct/cup × 12.34588668 = 12,345.88668 gr/qt
1,000 carats per cup = 12,345.88668 grains per quart.
Conversion table
| Carat per Cup (ct/cup) | Grain per Quart (gr/qt) |
|---|---|
| 0.1 ct/cup | 1.234588668 gr/qt |
| 1 ct/cup | 12.34588668 gr/qt |
| 10 ct/cup | 123.4588668 gr/qt |
| 100 ct/cup | 1,234.588668 gr/qt |
| 1,000 ct/cup | 12,345.88668 gr/qt |
| 10,000 ct/cup | 123,458.8668 gr/qt |
Reverse conversion: Grain per Quart to Carat per Cup
12.34588668 gr/qt × 0.0809986375 = 0.9999999998 ct/cup
12.34588668 grains per quart = 0.9999999998 carats per cup.
carats per cup = grains per quart × 0.0809986375
For a page dedicated to this direction, see Grain per Quart to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Grain per Quart (gr/qt)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per quart are in 1 carat per cup?
1 carat per cup equals 12.34588668 grains per quart, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to grain per quart?
Multiply the carat per cup value by 12.34588668. The converter above does this instantly to whatever precision you set.
How do I convert grain per quart back to carat per cup?
Use the reverse factor: 1 grain per quart equals 0.0809986375 carats per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
What is a grain per quart?
Grain per Quart (gr/qt) is a unit of density.
Is the carat per cup to grain per quart conversion exact?
Yes. Both carat per cup and grain per quart are defined by fixed standards rather than physical artifacts, so the factor of 12.34588668 used above is exact to as many digits as you choose to display.
What's the difference between density and mass concentration?
Density is the mass of a pure substance or material per unit volume. Mass concentration is the mass of one component — like a dissolved solute — within a mixture's total volume. The two use the same kind of units but describe different physical situations.